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Finding the Fourth Proportional to 2,162.18, 3,243.30 and 623.18

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Solution

The fourth proportional to 2,162.18, 3,243.30 and 623.18 is: 934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.18 : 3,243.30 = 623.18 : x
  2. Step 2: Convert to fraction form
    2,162.18/3,243.30 = 623.18/x
  3. Step 3: Cross multiply
    2,162.18x = 3,243.30 × 623.18
  4. Step 4: Simplify right side
    2,162.18x = 2,021,159.69
  5. Step 5: Solve for x
    x = 2,021,159.69/2,162.18
  6. Step 6: Final answer
    x = 934.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.